Impurity Effects and Spin Polarizations in a Narrow Quantum Hall System

Details Impurity Effects and Spin Polarizations in a Narrow Quantum Hall System Impurity Effects and Spin Polarizations in a Narrow Quantum Hall System

1997-11-17

arxiv.org/abs/cond-mat/9711158v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, REVTEX, and 4 .ps files

Scientific paper

10.1103/PhysRevB.58.9890

The temperature dependence of electron spin polarization for a narrow quantum Hall system shows behavior analogous to that of a two-dimensional system at major filling factors. At the lowest half-filled quantum Hall state for which no two-dimensional analog exists, we find a stable spin partially-polarized system. Periodic Gaussian repulsive impurities (antidots) in such a system leads to novel spin transitions at $\nu=\frac13$ and $\nu=\frac12$ and the pair-correlation functions provide clues about nature of different ground states in the system. These results can be explored in optical spectroscopy and optically pumped NMR Knight shift measurements.

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